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kkurt [141]
3 years ago
8

Simplify the expression.

Mathematics
2 answers:
Greeley [361]3 years ago
5 0

Answer:

The answer is (b) cscx

Step-by-step explanation:

∵ secx = 1/cosx

∵ tanx = sinx/cosx

∴ secx/tanx = 1/cosx ÷ sinx/cosx

                   = 1/cosx × cosx/sinx

                   = cscx

Alina [70]3 years ago
5 0

Answer:

Choice b is the answer.

Step-by-step explanation:

We have given an expression.

\frac{secx}{tanx}

We have to simplify given expression.

Since, we know that

secx is reciprocal of cosx.

secx=\frac{1}{cosx}

tanx is ratio of sinx to cosx.

tanx=\frac{sinx}{cosx}

Putting above formulas in given expression ,we have

\frac{1}{cosx} ÷ \frac{sinx}{cosx}

\frac{1}{cosx} × \frac{cosx}{sinx}

\frac{1}{sinx}

Hence, cscx is reciprocal of sinx.

\frac{secx}{tanx} = cscx

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